3g(2g-7)=0

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Solution for 3g(2g-7)=0 equation: 


Simplifying
3g(2g + -7) = 0

Reorder the terms:
3g(-7 + 2g) = 0
(-7 * 3g + 2g * 3g) = 0
(-21g + 6g2) = 0

Solving
-21g + 6g2 = 0

Solving for variable 'g'.

Factor out the Greatest Common Factor (GCF), '3g'.
3g(-7 + 2g) = 0

Ignore the factor 3.

Subproblem 1
Set the factor 'g' equal to zero and attempt to solve:

Simplifying
g = 0

Solving
g = 0

Move all terms containing g to the left, all other terms to the right.

Simplifying
g = 0

Subproblem 2
Set the factor '(-7 + 2g)' equal to zero and attempt to solve:

Simplifying
-7 + 2g = 0

Solving
-7 + 2g = 0

Move all terms containing g to the left, all other terms to the right.

Add '7' to each side of the equation.
-7 + 7 + 2g = 0 + 7

Combine like terms: -7 + 7 = 0
0 + 2g = 0 + 7
2g = 0 + 7

Combine like terms: 0 + 7 = 7
2g = 7

Divide each side by '2'.
g = 3.5

Simplifying
g = 3.5
Solution
g = {0, 3.5}

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